# David Toure

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Solved

Making change

Given an amount of currency, return a vector of this form: [100 50 20 10 5 2 1 0.5 0.25 0.1 0.05 0.01] Example: Input a = ...

3 years ago

Solved

The Goldbach Conjecture

The <http://en.wikipedia.org/wiki/Goldbach's_conjecture Goldbach conjecture> asserts that every even integer greater than 2 can ...

3 years ago

Solved

Counting Sequence

Given a vector x, find the "counting sequence" y. A counting sequence is formed by "counting" the entries in a given sequence...

3 years ago

Solved

The Goldbach Conjecture, Part 2

The <http://en.wikipedia.org/wiki/Goldbach's_conjecture Goldbach conjecture> asserts that every even integer greater than 2 can ...

3 years ago

Solved

Kaprekar Steps

6174 is the <http://en.wikipedia.org/wiki/6174_%28number%29 Kaprekar constant>. All natural numbers less than 10,000 (except som...

3 years ago

Solved

Piecewise linear interpolation

Given an Mx2 vector and a row of M-1 integers, output a two column vector that linearly interpolates Y times between each succes...

3 years ago

Solved

Find the longest sequence of 1's in a binary sequence.

Given a string such as s = '011110010000000100010111' find the length of the longest string of consecutive 1's. In this examp...

3 years ago

Solved

Maximum running product for a string of numbers

Given a string s representing a list of numbers, find the five consecutive numbers that multiply to form the largest number. Spe...

3 years ago

Solved

Return the 3n+1 sequence for n

A Collatz sequence is the sequence where, for a given number n, the next number in the sequence is either n/2 if the number is e...

3 years ago

Solved

Summing digits

Given n, find the sum of the digits that make up 2^n. Example: Input n = 7 Output b = 11 since 2^7 = 128, and 1 + ...

3 years ago

Solved

Return the largest number that is adjacent to a zero

This example comes from Steve Eddins' blog: <http://blogs.mathworks.com/steve/2009/05/27/learning-lessons-from-a-one-liner/ Lear...

3 years ago

Solved

Fibonacci sequence

Calculate the nth Fibonacci number. Given n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ... Examples: Inpu...

3 years ago

Solved

Back and Forth Rows

Given a number n, create an n-by-n matrix in which the integers from 1 to n^2 wind back and forth along the rows as shown in the...

3 years ago

Solved

Check if number exists in vector

Return 1 if number _a_ exists in vector _b_ otherwise return 0. a = 3; b = [1,2,4]; Returns 0. a = 3; b = [1,...

3 years ago

Solved

Determine if input is odd

Given the input n, return true if n is odd or false if n is even.

3 years ago

Solved

Finding Perfect Squares

Given a vector of numbers, return true if one of the numbers is a square of one of the other numbers. Otherwise return false. E...

3 years ago

Solved

Determine whether a vector is monotonically increasing

Return true if the elements of the input vector increase monotonically (i.e. each element is larger than the previous). Return f...

3 years ago

Solved

Longest run of consecutive numbers (★★★★★)

(copy of Problem 672) Given a vector a, find the number(s) that is/are repeated consecutively most often. For example, if you...

3 years ago

Solved

Create times-tables

At one time or another, we all had to memorize boring times tables. 5 times 5 is 25. 5 times 6 is 30. 12 times 12 is way more th...

3 years ago

Solved

Select every other element of a vector

Write a function which returns every other element of the vector passed in. That is, it returns the all odd-numbered elements, s...

3 years ago

Solved

Longest run of consecutive numbers

Given a vector a, find the number(s) that is/are repeated consecutively most often. For example, if you have a = [1 2 2 2 1 ...

3 years ago

Solved

Make a checkerboard matrix

Given an integer n, make an n-by-n matrix made up of alternating ones and zeros as shown below. The a(1,1) should be 1. Example...

3 years ago

Solved

Vector of digits (★★)

Given a positive integer x, construct a vector y with all the digits of x in the order of appearance in x. Thus, if x = 172...

3 years ago

Solved

Swap the first and last columns (★★)

(copy of Prob 19) Flip the outermost columns of matrix A, so that the first column becomes the last and the last column becom...

3 years ago

Solved

Mo money, mo math 1! (★★★)

(adapted from Prob 9 Cody team) You have a vector where the elements represent the number of $20 bills, $10 bills, $5 bills, ...

3 years ago

Solved

Variance computation (★)

Given a vector x with several values, compute the variance, whose formula is given by: <<https://i.imgur.com/Wg95KBE.gif>> ...

3 years ago

Solved

Median computation (★)

Given a vector of values, compute the median. The median is defined as the middle value in a set of *sorted* data. Thus, if ...

3 years ago

Solved

Function 1 (★)

Compute the value of <<https://i.imgur.com/AxKWLmE.gif>> for any given positive x.

3 years ago

Solved

Sum of elements in a vector (★)

(copy of Prob. 3) Find the sum of all the numbers of the input vector x. Input x = [1 2 3 5] Output y is 11 <> ...

3 years ago

Solved

Sum of elements of a vector (★★★)

Given any vector x = [x1, x2, x3, ... xn], compute the sum of its elements. Thus, if x = [ 1 3 -2 5 ], then the sum of its el...

3 years ago